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Finding the Fourth Proportional to 2,945.78, 4,415.91 and 996.62

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Solution

The fourth proportional to 2,945.78, 4,415.91 and 996.62 is: 1,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.78 : 4,415.91 = 996.62 : x
  2. Step 2: Convert to fraction form
    2,945.78/4,415.91 = 996.62/x
  3. Step 3: Cross multiply
    2,945.78x = 4,415.91 × 996.62
  4. Step 4: Simplify right side
    2,945.78x = 4,400,984.22
  5. Step 5: Solve for x
    x = 4,400,984.22/2,945.78
  6. Step 6: Final answer
    x = 1,494.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.